61382040 has 64 divisors (see below), whose sum is σ = 185436000. Its totient is φ = 16253952.

The previous prime is 61382039. The next prime is 61382059. The reversal of 61382040 is 4028316.

It is a happy number.

61382040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61382040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16164 + ... + 19596.

Almost surely, 2^61382040 is an apocalyptic number.

61382040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92718000).

61382040 is an abundant number, since it is smaller than the sum of its proper divisors (124053960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61382040 is a wasteful number, since it uses less digits than its factorization.

61382040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61382040 is about 7834.6691059674. The cubic root of 61382040 is about 394.4698115597.

The spelling of 61382040 in words is "sixty-one million, three hundred eighty-two thousand, forty".